13,157,955

3² × 5 × 23 × 12713

13,157,955 factors as 3^2 × 5 × 23 × 12713. Its 24 positive divisors give a proper-divisor sum of 10,642,653, so this integer is deficient. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 23 × 12713

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,800,608

Proper Divisor Sum 10,642,653

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #13157951 ← → #13157959

Radix Representation

Decimal	13157955
Binary	110010001100011001000011 (24 bits)
Octal	0o62143103
Hexadecimal	0xC8C643

Divisor Catalog (24)

Collatz Trajectory (91 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

13,157,955 39,473,866 19,736,933 59,210,800 29,605,400 14,802,700 7,401,350 3,700,675 11,102,026 5,551,013 16,653,040 8,326,520 4,163,260 2,081,630 1,040,815 3,122,446 1,561,223 4,683,670 2,341,835 7,025,506 3,512,753 10,538,260 5,269,130 2,634,565 7,903,696 3,951,848 1,975,924 987,962 493,981 1,481,944 740,972 370,486 185,243 555,730 277,865 833,596 416,798 208,399 625,198 312,599 937,798 468,899 1,406,698 703,349 2,110,048 1,055,024 527,512 263,756 131,878 65,939 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912 83,456

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